Question

Create a unique example of dividing a polynomial by a monomial and provide the simplified form. Please help
Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy

Answer 1

This should be under the mathematics section.

Answer 2

But here:

(3x^3 - 6x^2 + x) / 3x^2
3x^3/3x^2 - 6x^2 / 3x^2 + x/ 3x^2
x^1 - 2x^0 + 1/x^1
x - 2 +1/3x

You divide the first term 3x^3 by 3x^2 and 3 divided by 3 gives you 1 and dividing exponents you subtract. So 3 - 2 gives you the x^1 which is actually just x.

The second term is -6x^2 divided by 3x^2 and -6 divided by 3 is -2 and x^2 - x^2 is 0 and x^0 will give you one. So -2 times 1 will be -2.

The third term is x divided by 3x^2.
So 1 - 2 is -1 so the x is on the bottom (denominator) with the 3 and you need a 1 on the top (numerator) 1/3x.

So if you take x-2 + 1/3x and you multiply by 3x^2 I get 3x^3 - 2x^2 + 3x^2/ 3x, it will simplify into x.
Which is what we started out with.



Hope this helped!